Question

what is the margin of error?
the difference between the low and high values in a confidence interval estimate
the maximum likely difference between the point estimate of a parameter and the actual value of the parameter
the value α, which is the allowable tolerance for error in the prediction made by the interval estimate
the value 1−α, where α is the level of confidence in the prediction made by the interval estimate
the minimum likely difference between the point estimate of a parameter and the actual value of the parameter
none of the above

Explanation:

The margin of error is defined as the maximum likely difference between the point estimate of a parameter and the actual value of the parameter. Let's analyze each option:

• The difference between the low and high values in a confidence interval estimate is twice the margin of error (not the margin of error itself).
• The value $\alpha$ is related to the significance level (not the margin of error).
• The value $1 - \alpha$ is the confidence level (not the margin of error).
• The minimum likely difference is not the definition of margin of error.

Answer:

the maximum likely difference between the point estimate of a parameter and the actual value of the parameter